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Turing independence and Baire category

Published:2023-11-18 Issue: Volume: Page:
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Kumar Ashutosh¹,Shelah Saharon²³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, Uttar Pradesh, India

2. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J Safra Campus, Givat Ram, Jerusalem 91904, Israel

3. Department of Mathematics, Rutgers, The State University of New Jersey, Hill Center-Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

Abstract

We show that it is relatively consistent with ZFC that there is a non-meager set of reals [Formula: see text] such that for every non-meager [Formula: see text], there exist distinct [Formula: see text] such that [Formula: see text] is computable from the Turing join of [Formula: see text] and [Formula: see text].

Funder

Israel Science Foundation

NSF

Publisher

World Scientific Pub Co Pte Ltd

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061324500089

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